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» The Polytope of Degree Partitions
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DCG
2002
71views more  DCG 2002»
13 years 4 months ago
A Polytope Related to Empirical Distributions, Plane Trees, Parking Functions, and the Associahedron
The volume of the n-dimensional polytope nx := fy 2 Rn : yi 0 and y1 + + yi x1 + + xi for all 1 i ng for arbitrary x := x1; : : : ; xn with xi 0 for all i de nes a polyn...
Richard P. Stanley, Jim Pitman
IJCGA
1998
74views more  IJCGA 1998»
13 years 4 months ago
Polyhedral Assembly Partitioning Using Maximally Covered Cells in Arrangements of Convex Polytopes
We study the following problem: Given a collection A of polyhedral parts in 3D, determine whether there exists a subset S of the parts that can be moved as a rigid body by in nite...
Leonidas J. Guibas, Dan Halperin, Hirohisa Hirukaw...
DCG
2006
82views more  DCG 2006»
13 years 4 months ago
Volume Computation for Polytopes and Partition Functions for Classical Root Systems
This paper presents an algorithm to compute the value of the inverse Laplace transforms of rational functions with poles on arrangements of hyperplanes. As an application, we prese...
M. Welleda Baldoni-Silva, Matthias Beck, Charles C...
JCT
2006
89views more  JCT 2006»
13 years 4 months ago
Revlex-initial 0/1-polytopes
We introduce revlex-initial 0/1-polytopes as the convex hulls of reverse-lexicographically initial sets of 0/1-vectors. Thus for each n 2d , we consider the 0/1-knapsack polytope ...
Rafael Gillmann, Volker Kaibel
ARSCOM
2002
70views more  ARSCOM 2002»
13 years 4 months ago
On the Number of Graphical Forest Partitions
A graphical partition of the even integer n is a partition of n where each part of the partition is the degree of a vertex in a simple graph and the degree sum of the graph is n. ...
Deborah A. Frank, Carla D. Savage, James A. Seller...